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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 426888b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.b1 | 426888b1 | \([0, 0, 0, -17787, -1007930]\) | \(-23716/3\) | \(-78724813483008\) | \([]\) | \(2184192\) | \(1.4004\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888b do not have complex multiplication.Modular form 426888.2.a.b
sage: E.q_eigenform(10)